IMO 1992 LL TWN77

Show that if 994 integers are chosen from 1, 2, . . . , 1992 and

IMO 1992 LL TWN77

Origin: TWN

Problem

Show that if 994 integers are chosen from 1, 2, . . . , 1992 and one of the chosen integers is less than 64, then there exist two among the chosen integers such that one of them is a factor of the other.